Statistical properties of the maximal entropy measure for partially hyperbolic attractors
Statistical properties of the maximal entropy measure for partially hyperbolic attractors
复制标题
部分双曲吸引子最大熵测度的统计特性
DOI：
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发表时间：
2016
影响因子：
0.9
通讯作者：
Teofilo Nascimento
中科院分区：
文献类型：
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作者：
A. Castro;Teofilo Nascimento
我们证明了半共轭于非均匀展开映射的部分双曲微分同态的最大熵概率测度的存在唯一性。利用锥上的射影度量理论，我们证明了Hölder连续可观测值的相关性的指数衰减和最大熵概率测度的中心极限定理。此外，对于由螺线管导出的系统，我们也证明了最大熵概率测度的统计稳定性。最后，我们使用这样的技术，以获得类似的结果，在包含部分双曲系统派生自阿诺索夫。
We show the existence and uniqueness of the maximal entropy probability measure for partially hyperbolic diffeomorphisms which are semiconjugate to non-uniformly expanding maps. Using the theory of projective metrics on cones, we then prove exponential decay of correlations for Hölder continuous observables and the central limit theorem for the maximal entropy probability measure. Moreover, for systems derived from a solenoid, we also prove the statistical stability for the maximal entropy probability measure. Finally, we use such techniques to obtain similar results in a context containing partially hyperbolic systems derived from Anosov.
具有临界点和奇点的区间图的统计特性和相关性衰减
影响因子：
2.4
作者：
Luzzatto S
通讯作者：
Luzzatto S